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48637952 = 2111117127
BaseRepresentation
bin1011100110001…
…0100000000000
310101112001201122
42321202200000
544422403302
64454251412
71130262416
oct271424000
9111461648
1048637952
1125500460
1214356b68
13a0cc46c
1466612b6
15440b3a2
hex2e62800

48637952 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 20643840.

The previous prime is 48637909. The next prime is 48637957. The reversal of 48637952 is 25973684.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (48637957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382913 + ... + 383039.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 248637952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

48637952 is an abundant number, since it is smaller than the sum of its proper divisors (64580608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48637952 is a wasteful number, since it uses less digits than its factorization.

48637952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 48637952 is about 6974.0914820498. The cubic root of 48637952 is about 365.0270875000.

The spelling of 48637952 in words is "forty-eight million, six hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 127 128 136 176 187 254 256 272 352 374 508 512 544 704 748 1016 1024 1088 1397 1408 1496 2032 2048 2159 2176 2794 2816 2992 4064 4318 4352 5588 5632 5984 8128 8636 8704 11176 11264 11968 16256 17272 17408 22352 22528 23749 23936 32512 34544 34816 44704 47498 47872 65024 69088 89408 94996 95744 130048 138176 178816 189992 191488 260096 276352 357632 379984 382976 552704 715264 759968 1105408 1430528 1519936 2210816 2861056 3039872 4421632 6079744 12159488 24318976 48637952